X and Y are independent normal variables with X-N(100, 49) and Y-N(110, 576). (a) Find the mean

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X and Y are independent normal variables with X-N(100, 49) and Y-N(110, 576).

(a) Find the mean and the standard deviation of the distribution X + Y.

(b) Describe the distribution of X + Y.

(c) Find P(X+Y>200).

(d) Find P(180

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